X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL004-3.ma;h=a76aba323932a1f74e4e557467d48f74e6b48f42;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=267efd5f865789207e13455c33b3aa29fb05d3b4;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL004-3.ma b/helm/software/matita/contribs/ng_TPTP/COL004-3.ma index 267efd5f8..a76aba323 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL004-3.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL004-3.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL004-3 : TPTP v3.2.0. Released v1.0.0. *) +(* File : COL004-3 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Combinatory Logic *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.21 v3.1.0, 0.22 v2.7.0, 0.27 v2.6.0, 0.17 v2.5.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.38 v2.0.0 *) +(* Rating : 0.33 v3.4.0, 0.38 v3.3.0, 0.21 v3.1.0, 0.22 v2.7.0, 0.27 v2.6.0, 0.17 v2.5.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.38 v2.0.0 *) (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) @@ -50,27 +50,28 @@ include "logic/equality.ma". (* ----This is the U equivalent *) ntheorem prove_u_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀k:Univ. ∀s:Univ. ∀x:Univ. ∀y:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply k X) Y) X. -∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (apply (apply (apply (apply s (apply k (apply s (apply (apply s k) k)))) (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))) x) y) (apply y (apply (apply x x) y)) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (apply (apply (apply (apply s (apply k (apply s (apply (apply s k) k)))) (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))) x) y) (apply y (apply (apply x x) y))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#k. -#s. -#x. -#y. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#k ##. +#s ##. +#x ##. +#y ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)